Results 101 to 110 of about 21,674,610 (304)

Some Examples of Valued Fields

Journal of Algebra, 1995
The author considers generalized power series fields. He proves that many properties of such a generalized power series field \(A\) are inherited from its residue field \(R\). Most of these properties are known from the literature to be inherited to \(A\) from the residue field \(R\) of any henselian valued field \(A\).
openaire   +3 more sources

Aggressive prostate cancer is associated with pericyte dysfunction

Molecular Oncology, EarlyView.
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero, Ane Martinez‐Larrinaga, Joaquim Grego‐Bessa, Saioa Garcia‐Longarte, Hielke van Splunder, Ianire Astobiza, Amaia Ercilla, Laura Bozal‐Basterra, Isabel Mendizabal, Pilar Villacampa, Arkaitz Carracedo, Mariona Graupera   +11 more
wiley   +1 more source

Finite group gauge theory on graphs and gravity-like modes

Nuclear Physics B
We study gauge theory with finite group G on a graph X using noncommutative differential geometry and Hopf algebra methods with G-valued holonomies replaced by gauge fields valued in a ‘finite group Lie algebra’ subset of the group algebra CG ...
Shahn Majid, Francisco Simão
doaj   +1 more source

Linear Problems in Valued Fields

Journal of Symbolic Computation, 2000
Extending the Skolem sets introduced by Weispfenning in 1988, the author gives quantifier elimination procedures of comparatively moderate complexity for linear problems in various classes of valued fields. Some consequences concerning the complexity of the decision problems and substructure completeness w.r.t.
openaire   +1 more source

Integration in valued fields [PDF]

, 2007
We develop a theory of integration over valued fields of residue characteristic zero. In particular we obtain new and base-field independent foundations for integration over local fields of large residue characteristic, extending results of Denef,Loeser, Cluckers. The method depends on an analysis of definable sets up to definable bijections. We obtain
Hrushovski, E, Kazhdan, D
openaire   +3 more sources

Cytoplasmic p21 promotes stemness of colon cancer cells via activation of the NFκB pathway

Molecular Oncology, EarlyView.
Cytoplasmic p21 promotes colorectal cancer stem cell (CSC) features by destabilizing the NFκB–IκB complex, activating NFκB signaling, and upregulating BCL‐xL and COX2. In contrast to nuclear p21, cytoplasmic p21 enhances spheroid formation and stemness transcription factor CD133.
Arnatchai Maiuthed, Kerstin Huebner, Katharina Erlenbach‐Wuensch, Chuanpit Hampel, Daniela Thalheim, Adriana Vial‐Roehe, Bodee Nutho, Susanne Merkel, Arndt Hartmann, Pithi Chanvorachote, Regine Schneider‐Stock   +10 more
wiley   +1 more source

Properties and Structure of Type-2 Neutrosophic Control Point Relation [PDF]

Neutrosophic Sets and Systems
In recent decades, practitioners and scholars from several fields have increasingly used fuzzy sets as a fundamental tool for characterizing uncertainty data.
Siti Nur Idara Rosli, Mohammad Izat Emir Zulkifly   +1 more
doaj   +1 more source

Cis‐regulatory and long noncoding RNA alterations in breast cancer – current insights, biomarker utility, and the critical need for functional validation

Molecular Oncology, EarlyView.
The noncoding region of the genome plays a key role in regulating gene expression, and mutations within these regions are capable of altering it. Researchers have identified multiple functional noncoding mutations associated with increased cancer risk in the genome of breast cancer patients.
Arnau Cuy Saqués, Aracele Martinez‐Mendez, John Crown, Alex Eustace   +3 more
wiley   +1 more source

Lower Bound of the Complexity of Seven-Valued Functions in the Class of Polarized Polynomials

Известия Иркутского государственного университета: Серия "Математика", 2017
One of the directions of the investigation of functions over finite fields is the study of their representations, including polynomial ones. In the area of polynomial representations of functions the problem of estimating the complexity of such ...
A.S. Baliuk, A.S. Zinchenko
doaj   +1 more source

Perspectives in educating molecular pathologists on liquid biopsy: Toward integrative, equitable, and decentralized precision oncology

Molecular Oncology, EarlyView.
Liquid biopsy enables minimally invasive, real‐time molecular profiling through analysis of circulating biomarkers in biological fluids. This Perspective highlights the importance of training pathologists through integrative educational programs, such as the European Masters in Molecular Pathology, to ensure effective and equitable implementation of ...
Marius Ilié, Umberto Malapelle, Catherine Alix‐Panabières, Claus Lindbjerg Andersen, Sandra Chlebowski, Vivien Lake, Caroline Lacoux, Virginie Lespinet‐Fabre, Olivier Bordone, Simon Heeke, Christophe Bontoux, Ellen Heitzer, Klaus Pantel, Paul Hofman   +13 more
wiley   +1 more source